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Finding the Fourth Proportional to 35,596.16, 53,477.28 and 20,815.47

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Solution

The fourth proportional to 35,596.16, 53,477.28 and 20,815.47 is: 31,271.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,596.16 : 53,477.28 = 20,815.47 : x
  2. Step 2: Convert to fraction form
    35,596.16/53,477.28 = 20,815.47/x
  3. Step 3: Cross multiply
    35,596.16x = 53,477.28 × 20,815.47
  4. Step 4: Simplify right side
    35,596.16x = 1,113,154,717.52
  5. Step 5: Solve for x
    x = 1,113,154,717.52/35,596.16
  6. Step 6: Final answer
    x = 31,271.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.